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Thanks for both a journal suggestion and some encouragement. I thought about value of my paper and saw its not for psychologists (with the current results for a too idealized game). The Mathematical Intelligencer sounds nice. Just curious, why you recommend it me more than AMM (even if its softer and prefers shorter papers)? And one more question - as I see MI prefers short papers - should I vasty reduce its size or somehow persuade to publish a longer one?
Thanks. Is The College Math Journal better (for me) than The American Mathematical Monthly? And one more: I know that level and style fits for an journal for students, but at the same time I don't know if it is good to publish an original research in an expository journal. Well, the "game" may be misleading (I use neither game theory nor chess/go/whatever-like combinatorics).
Thanks, surely worth considering. Anyway, do you know anything more related to modeling interactions in a small group? I found Journal of Artificial Societies and Social Simulation (but it is more numerical simulation oriented).
Two remarks I should have added: - as it is on arXiv and it is not my in primary discipline, I don't have urge to publish it just anywhere but - it would be good to have a "stamp" its per-reviewed - it may reach to wider audience
Thanks. @KConrad: As of my experience, students in mathematics know the Mafia more frequently than e.g. lecturers. @Andy Putman: I have already published things in physics. Before even thinking about posting here I asked some professors. Unfortunately, I didn't get any advice. Perhaps it is because I don't know anyone in my department doing (well) anything on conjunction of mathematics and psychology.
I considered it (and perhaps should consider it again). The main objection was, is the work valuable for someone interested solely in Applied Probability? I guess not. (In my paper solution is very straightforward and uses no theorems in probability.)